Exact asymmetric Skyrmion in anisotropic ferromagnet and its helimagnetic application

TL;DR

This paper generalizes the classical Belavin-Polyakov Skyrmion solutions to anisotropic ferromagnets, introducing asymmetric Skyrmions that could be stabilized in helimagnets and observed experimentally.

Contribution

It presents a novel exact solution for asymmetric Skyrmions in anisotropic ferromagnets, extending prior models beyond analyticity.

Findings

Construction of asymmetric Skyrmion solutions

Proposal for stabilization of Skyrmions in helimagnets

Potential experimental detection of asymmetric Skyrmion crystals

Abstract

Topological Skyrmions as intricate spin textures were observed experimentally in helimagnets on 2d plane. Theoretical foundation of such solitonic states to appear in pure ferromagnetic model, as exact solutions expressed through any analytic function, was made long ago by Belavin and Polyakov (BP). We propose an innovative generalization of the BP solution for an anisotropic ferromagnet, based on a physically motivated geometric (in-)equality, which takes the exact Skyrmion to a new class of functions beyond analyticity. The possibility of stabilizing such metastable states in helimagnets is discussed with the construction of individual Skyrmion and Skyrmion crystal with asymmetry, likely to be detected in precision experiments.